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Finding the Fourth Proportional to 8,089.20, 12,048.78 and 7,710

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Solution

The fourth proportional to 8,089.20, 12,048.78 and 7,710 is: 11,483.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,089.20 : 12,048.78 = 7,710 : x
  2. Step 2: Convert to fraction form
    8,089.20/12,048.78 = 7,710/x
  3. Step 3: Cross multiply
    8,089.20x = 12,048.78 × 7,710
  4. Step 4: Simplify right side
    8,089.20x = 92,896,093.80
  5. Step 5: Solve for x
    x = 92,896,093.80/8,089.20
  6. Step 6: Final answer
    x = 11,483.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.